The Homotopy Perturbation Method for Solving Some Types of Nonlocal Problems with Some Real Life Applications

Authors

  • Ahlam J Khaleel Department of Mathematics and Computer Applications, College of Science, Al-Nahrain University, Baghdad-Iraq.

Keywords:

homotopy perturbation method, parabolic integro-differential equations, nonlocal condition, diffusion equation, nonlocal problem

Abstract

In this paper, we use the homotopy perturbation method for finding the solutions of the nonlocal
problems that consist of the one-dimensional heat equation together with nonlocal conditions and
the nonlocal problems that consist of the parabolic linear integro-differential equations together
with nonlocal conditions. Also, some numerical examples are presented to explain the efficiency of
this method. Moreover, some real life applications for the nonlocal problems are solved via this
method.

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Published

2012-09-01

Issue

Vol. 15 No. 3 (2012): September

Section

Articles

How to Cite

(1)
The Homotopy Perturbation Method for Solving Some Types of Nonlocal Problems With Some Real Life Applications. ANJS 2012, 15 (3), 179-189.